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Finding the Fourth Proportional to 340.60, 511.36 and 219.10

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Solution

The fourth proportional to 340.60, 511.36 and 219.10 is: 328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.60 : 511.36 = 219.10 : x
  2. Step 2: Convert to fraction form
    340.60/511.36 = 219.10/x
  3. Step 3: Cross multiply
    340.60x = 511.36 × 219.10
  4. Step 4: Simplify right side
    340.60x = 112,038.98
  5. Step 5: Solve for x
    x = 112,038.98/340.60
  6. Step 6: Final answer
    x = 328.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.